|
|
|
use std::collections::HashMap;
|
|
|
|
use std::{io::{self, BufRead}};
|
|
|
|
|
|
|
|
fn factorize(mut number: u16, primes: &[u16]) -> Option<HashMap<u16, u16>> {
|
|
|
|
let mut result = HashMap::new();
|
|
|
|
|
|
|
|
for &prime in primes.iter() {
|
|
|
|
let mut count = 0;
|
|
|
|
while (number % prime) == 0 {
|
|
|
|
count += 1;
|
|
|
|
number = number / prime;
|
|
|
|
}
|
|
|
|
|
|
|
|
if count > 0 {
|
|
|
|
result.insert(prime, count);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
if number == 1 {
|
|
|
|
return Some(result);
|
|
|
|
} else {
|
|
|
|
return None;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
fn factorize_all() -> HashMap<u16, HashMap<u16, u16>> {
|
|
|
|
let primes: Vec<u16> = vec![2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499];
|
|
|
|
|
|
|
|
let mut result = HashMap::new();
|
|
|
|
|
|
|
|
for i in 1..std::u16::MAX {
|
|
|
|
match factorize(i, &primes) {
|
|
|
|
Some(factors) => {
|
|
|
|
result.insert(i, factors);
|
|
|
|
},
|
|
|
|
None => {}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
result
|
|
|
|
}
|
|
|
|
|
|
|
|
fn solve(cards: &Vec<(u16, u16)>, precomputed: &HashMap<u16, HashMap<u16, u16>>) -> Option<u16> {
|
|
|
|
let sum: u16 = cards.iter().map(|&(prime, count)| prime * count).sum();
|
|
|
|
let cards_hash = cards.iter().map(|&tuple| tuple.clone()).collect::<HashMap<_, _>>();
|
|
|
|
|
|
|
|
for i in (1..=sum).rev() {
|
|
|
|
match precomputed.get(&i) {
|
|
|
|
Some(factors) => {
|
|
|
|
let factors_sum: u16 = factors.iter().map(|(&factor, &count)| factor * count).sum();
|
|
|
|
if i + factors_sum == sum {
|
|
|
|
if factors.iter().all(|(&factor, &count)| match cards_hash.get(&factor) {
|
|
|
|
Some(&original_count) => original_count >= count,
|
|
|
|
None => false,
|
|
|
|
}) {
|
|
|
|
return Some(i);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
None => {
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
return None;
|
|
|
|
}
|
|
|
|
|
|
|
|
fn main() {
|
|
|
|
let precomputed = factorize_all();
|
|
|
|
|
|
|
|
let stdin = io::stdin();
|
|
|
|
let mut lines = stdin.lock().lines();
|
|
|
|
|
|
|
|
let test_number: u32 = lines.next().unwrap().unwrap().parse().unwrap();
|
|
|
|
for t in 1..=test_number {
|
|
|
|
let length: u32 = lines.next().unwrap().unwrap().parse().unwrap();
|
|
|
|
let mut list: Vec<(u16, u16)> = vec![];
|
|
|
|
for _i in 0..length {
|
|
|
|
let parts: Vec<u16> = lines.next().unwrap().unwrap().split(char::is_whitespace).map(|part| part.parse().unwrap()).collect();
|
|
|
|
list.push((parts[0], parts[1]))
|
|
|
|
}
|
|
|
|
println!("Case #{}: {}", t, match solve(&list, &precomputed) {
|
|
|
|
Some(score) => score,
|
|
|
|
None => 0,
|
|
|
|
});
|
|
|
|
}
|
|
|
|
}
|